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arXiv · 2105.00382

Model Checking Quantum Continuous-Time Markov Chains

Ming Xu·Jingyi Mei·Ji Guan·Nengkun Yu
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Abstract

Verifying quantum systems has attracted a lot of interests in the last decades. In this paper, we initialised the model checking of quantum continuous-time Markov chain (QCTMC). As a real-time system, we specify the temporal properties on QCTMC by signal temporal logic (STL). To effectively check the atomic propositions in STL, we develop a state-of-art real root isolation algorithm under Schanuel's conjecture; further, we check the general STL formula by interval operations with a bottom-up fashion, whose query complexity turns out to be linear in the size of the input formula by calling the real root isolation algorithm. A running example of an open quantum walk is provided to demonstrate our method.

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Ming Xu, Jingyi Mei, Ji Guan, Nengkun Yu. 2021-05-02. Model Checking Quantum Continuous-Time Markov Chains. https://doi.org/10.4230/lipics.concur.2021.13

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